11 citations · 24 across the 6 of their papers we have counts for
6 papers
Elementary proofs of Zagier's formula for multiple zeta values and its odd variant
Li Lai, Cezar Lupu, Derek Orr
In this paper, we give elementary proofs of Zagier's formula for multiple zeta values involving Hoffman element and its odd variant due to Murakami. Zagier's formula was a key ingr…
Synchronization of Oscillators via Active Media
Derek Orr, Bard Ermentrout
In this paper, we study pairs of oscillators that are indirectly coupled via active (excitable) cells. We introduce a scalar phase model for coupled oscillators and excitable cells…
Redefining the integral
Derek Orr
In this paper, we discuss a similar functional to that of a standard integral. The main difference is in its definition: instead of taking a sum, we are taking a product. It turns…
Generalized Log-sine integrals and Bell polynomials
Derek Orr
In this paper, we investigate the integral of for natural numbers and . In doing so, we recover some well-known results and remark on some relations to…
Generalized rational zeta series for and
Derek Orr
In this paper, we find rational zeta series with in terms of and , the Dirichlet beta function. We then develop a certain family of generalized rational ze…
Approximations for Apery's constant and rational series representations involving
Cezar Lupu, Derek Orr
In this note, using an idea from \cite{Amo-Carrillo-Sanchez} we derive some new series representations involving and Euler numbers. Using a well-known series representation…